IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6752455.html
   My bibliography  Save this article

Approximate and Closed-Form Solutions of Newell-Whitehead-Segel Equations via Modified Conformable Shehu Transform Decomposition Method

Author

Listed:
  • Muhammad Imran Liaqat
  • Adnan Khan
  • Md. Ashraful Alam
  • M. K. Pandit
  • Sina Etemad
  • Shahram Rezapour
  • Aida Mustapha

Abstract

In this study, we introduced a novel scheme to attain approximate and closed-form solutions of conformable Newell-Whitehead-Segel (NWS) equations, which belong to the most consequential amplitude equations in physics. The conformable Shehu transform (CST) and the Adomian decomposition method (ADM) are combined in the proposed method. We call it the conformable Shehu decomposition method (CSDM). To assess the efficiency and consistency of the recommended method, we demonstrate 2D and 3D graphs as well as numerical simulations of the derived solutions. As a result, CSDM demonstrates that it is a useful and simple mathematical tool for getting approximate and exact analytical solutions to linear-nonlinear fractional partial differential equations (PDEs) of the given kind. The convergence and absolute error analysis of the series solutions is also offered.

Suggested Citation

  • Muhammad Imran Liaqat & Adnan Khan & Md. Ashraful Alam & M. K. Pandit & Sina Etemad & Shahram Rezapour & Aida Mustapha, 2022. "Approximate and Closed-Form Solutions of Newell-Whitehead-Segel Equations via Modified Conformable Shehu Transform Decomposition Method," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, April.
    • Handle: RePEc:hin:jnlmpe:6752455
    DOI: 10.1155/2022/6752455
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/6752455.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/6752455.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/6752455?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liaqat, Muhammad Imran & Akgül, Ali, 2022. "A novel approach for solving linear and nonlinear time-fractional Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Muhamad Deni Johansyah & Asep Kuswandi Supriatna & Endang Rusyaman & Jumadil Saputra, 2022. "The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model," Mathematics, MDPI, vol. 10(17), pages 1-21, August.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:6752455. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.